T(n, k) = Sum_{j=0..n-k} (-1)^j*binomial(n - k + 1, j)*(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.
A090582
T(n, k) = Sum_{j=0..n-k} (-1)^j*binomial(n - k + 1, j)*(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.
Terms
- a(0) =1a(1) =2a(2) =1a(3) =6a(4) =6a(5) =1a(6) =24a(7) =36a(8) =14a(9) =1a(10) =120a(11) =240a(12) =150a(13) =30a(14) =1a(15) =720a(16) =1800a(17) =1560a(18) =540a(19) =62a(20) =1a(21) =5040a(22) =15120a(23) =16800a(24) =8400a(25) =1806a(26) =126a(27) =1a(28) =40320a(29) =141120
External references
- oeis: A090582